461283984 has 240 divisors, whose sum is σ = 1621646208. Its totient is φ = 123918336.

The previous prime is 461283961. The next prime is 461283997. The reversal of 461283984 is 489382164.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462174 + ... + 463170.

Almost surely, 2^461283984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461283984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810823104).

461283984 is an abundant number, since it is smaller than the sum of its proper divisors (1160362224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461283984 is a wasteful number, since it uses less digits than its factorization.

461283984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1026 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 461283984 is about 21477.5227621809. The cubic root of 461283984 is about 772.6618305506.

The spelling of 461283984 in words is "four hundred sixty-one million, two hundred eighty-three thousand, nine hundred eighty-four".